Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach
This paper proposes a new asymptotic approach to search for the periodic solutions of a kind of nonlinear oscillations. In this method the iteration technique is coupled with the traditional perturbation techniques, yielding a powerful mathematical tool for solving strongly nonlinear equations. Some...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
2015-06-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/506 |
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| _version_ | 1849320978161598464 |
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| author | Ji-Huan He |
| author_facet | Ji-Huan He |
| author_sort | Ji-Huan He |
| collection | DOAJ |
| description | This paper proposes a new asymptotic approach to search for the periodic solutions of a kind of nonlinear oscillations. In this method the iteration technique is coupled with the traditional perturbation techniques, yielding a powerful mathematical tool for solving strongly nonlinear equations. Some examples are given to illustrate its effectiveness, convenience and accuracy. Generally, the first iteration leads to a highly accurate approximate solution which is uniformly valid for the whole solution domain. The new asymptotic approach is named the iteration-perturbation method. |
| format | Article |
| id | doaj-art-175afa492bf54c168e8e2f6c5e4bf1f3 |
| institution | Kabale University |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 2015-06-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-175afa492bf54c168e8e2f6c5e4bf1f32025-08-20T03:49:54ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80712015-06-01501-210.24423/engtrans.506.2002Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic ApproachJi-Huan He0Shanghai Donghua UniversityThis paper proposes a new asymptotic approach to search for the periodic solutions of a kind of nonlinear oscillations. In this method the iteration technique is coupled with the traditional perturbation techniques, yielding a powerful mathematical tool for solving strongly nonlinear equations. Some examples are given to illustrate its effectiveness, convenience and accuracy. Generally, the first iteration leads to a highly accurate approximate solution which is uniformly valid for the whole solution domain. The new asymptotic approach is named the iteration-perturbation method.https://et.ippt.pan.pl/index.php/et/article/view/506 |
| spellingShingle | Ji-Huan He Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach Engineering Transactions |
| title | Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach |
| title_full | Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach |
| title_fullStr | Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach |
| title_full_unstemmed | Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach |
| title_short | Periodic Solutions for a Kind of Nonlinear Oscillations by a New Asymptotic Approach |
| title_sort | periodic solutions for a kind of nonlinear oscillations by a new asymptotic approach |
| url | https://et.ippt.pan.pl/index.php/et/article/view/506 |
| work_keys_str_mv | AT jihuanhe periodicsolutionsforakindofnonlinearoscillationsbyanewasymptoticapproach |